An iterative scheme for imaging acoustic obstacle from phaseless total-field data-Reference-Cited by-同舟云学术

An iterative scheme for imaging acoustic obstacle from phaseless total-field data

Published:2022 Issue:4 Volume:16 Page:925
ISSN:1930-8337
Container-title:Inverse Problems and Imaging
language:
Short-container-title:IPI

Author:

Dong Heping¹,Zhang Deyue¹,Chi Yingwei¹

Affiliation:

1. School of Mathematics, Jilin University, Changchun, 130012, China

Abstract

<p style='text-indent:20px;'>In this paper, we consider the inverse problem of determining the location and the shape of a sound-soft or sound-hard obstacle from the modulus of the total-field collected on a measured curve for an incident point source. We propose a system of nonlinear integral equations based iterative scheme to reconstruct both the location and the shape of the obstacle. Several validating numerical examples are provided to illustrate the effectiveness and robustness of the proposed inversion algorithm.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis

Reference25 articles.

1. H. Ammari, Y. T. Tin, J. Zou.Phased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients, SIAM J. Appl. Math., 76 (2016), 1000-1030.

2. G. Bao, P. Li, J. Lv.Numerical solution of an inverse diffraction grating problem from phaseless data, J. Opt. Soc. Am. A, 30 (2013), 293-299.

3. Z. Chen, G. Huang.A direct imaging method for electromagnetic scattering data without phase information, SIAM J. Imaging Sci., 9 (2016), 1273-1297.

4. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 3$^{nd}$ edition, Springer, New York, 2013.

5. H. Dong, J. Lai and P. Li, An inverse acoustic-elastic interaction problem with phased or phaseless far-field data, Inverse Probl., 36 (2020), 35014, 36 pp.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Uniqueness and numerical method for phaseless inverse diffraction grating problem with known superposition of incident point sources;Inverse Problems;2024-07-04

2. Uniqueness and reconstruction method for inverse elastic wave scattering with phaseless data;Inverse Problems and Imaging;2023

3. Uniqueness in inverse scattering problems with phaseless near-field data generated by superpositions of two incident planewaves at a fixed frequency;Inverse Problems and Imaging;2023

4. Numerical method for the inverse interior scattering problem from phaseless data;Inverse Problems and Imaging;2023